CAIE P3 2020 June — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2020
SessionJune
TopicAddition & Double Angle Formulae

3 Express the equation \(\tan \left( \theta + 60 ^ { \circ } \right) = 2 + \tan \left( 60 ^ { \circ } - \theta \right)\) as a quadratic equation in \(\tan \theta\), and hence solve the equation for \(0 ^ { \circ } \leqslant \theta \leqslant 180 ^ { \circ }\).